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Finding the Fourth Proportional to 424,458, 636,691.32 and 128,970

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Solution

The fourth proportional to 424,458, 636,691.32 and 128,970 is: 193,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,458 : 636,691.32 = 128,970 : x
  2. Step 2: Convert to fraction form
    424,458/636,691.32 = 128,970/x
  3. Step 3: Cross multiply
    424,458x = 636,691.32 × 128,970
  4. Step 4: Simplify right side
    424,458x = 82,114,079,540.40
  5. Step 5: Solve for x
    x = 82,114,079,540.40/424,458
  6. Step 6: Final answer
    x = 193,456.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.